Finding the Third Proportional to 290,144 and 443,802

Step by Step Solution

1. Step 1: Write the proportion equation
   290,144 : 443,802 = 443,802 : x
2. Step 2: Convert to fraction form
   290,144/443,802 = 443,802/x
3. Step 3: Cross multiply
   290,144x = 443,802 × 443,802
4. Step 4: Simplify right side
   290,144x = 196,960,215,204
5. Step 5: Solve for x
   x = 196,960,215,204/290,144
6. Step 6: Final answer
   x = 678,836.08